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General Chemistry Principles, Patterns, and Applications, 2011

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everse process, the reduction of stannous ions (Sn 2+ ) by metallic beryllium, which has a positive value<br />

of E° cell, will occur spontaneously.<br />

b. A MnO 2 is the oxidant (Mn 4+ is reduced to Mn 2+ ), while H 2O 2 is the reductant (O 2− is oxidized to O 2).<br />

We can obtain the st<strong>and</strong>ard electrode potentials for the reduction <strong>and</strong> oxidation half-reactions directly<br />

fromTable 19.2 "St<strong>and</strong>ard Potentials for Selected Reduction Half-Reactions at 25°C".<br />

B The two half-reactions <strong>and</strong> their corresponding potentials are as follows:<br />

cathode :anode :overall : MnO2( s) + 4H + ( aq) + 2e -<br />

® Mn2 + ( aq) + 2H 2O( l) H 2O2( aq) ® O2( g) + 2H +<br />

( aq) + 2e - MnO2( s) + H 2O2(a<br />

q) + 2H + ( aq) ® O2(g) + Mn2 + ( aq)<br />

+2H 2O( l)E°cathode = 1.22 VE°anode<br />

= 0.70 VE°cell = E°cathode - E°anode = -0.53 V<br />

The st<strong>and</strong>ard potential for the reaction is positive, indicating that under st<strong>and</strong>ard conditions, it will occur<br />

spontaneously as written. Hydrogen peroxide will reduce MnO 2, <strong>and</strong> oxygen gas will evolve from the<br />

solution.<br />

Exercise<br />

Use the data in Table 19.2 "St<strong>and</strong>ard Potentials for Selected Reduction Half-Reactions at 25°C" to determine<br />

whether each reaction is likely to occur spontaneously under st<strong>and</strong>ard conditions:<br />

a. 2Ce 4+ (aq) + 2Cl − (aq) → 2Ce 3+ (aq) + Cl 2(g)<br />

b. 4MnO 2(s) + 3O 2(g) + 4OH − −<br />

(aq) → 4MnO 4 (aq) + 2H2O<br />

Answer:<br />

a. spontaneous (E° cell = 0.36 V)<br />

b. nonspontaneous (E° cell = −0.20 V)<br />

Although the sign of E°cell tells us whether a particular redox reaction will occur spontaneously under<br />

st<strong>and</strong>ard conditions, it does not tell us to what extent the reaction proceeds, <strong>and</strong> it does not tell us what<br />

will happen under nonst<strong>and</strong>ard conditions. To answer these questions requires a more quantitative<br />

underst<strong>and</strong>ing of the relationship between electrochemical cell potential <strong>and</strong> chemical thermodynamics,<br />

as described inSection 19.4 "Electrochemical Cells <strong>and</strong> Thermodynamics".<br />

Summary<br />

Saylor URL: http://www.saylor.org/books<br />

Saylor.org<br />

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